
THEMATIC PROGRAMS 

September 4, 2015  
Thematic
Program on Mathematics in Quantum Information

Registration is now closed.  Abstracts  Fields Visitor Information  
Registered participants  Hotels and Housing (Waterloo)  Hotels and Housing (Toronto) 
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This workshop has arisen from the need and desire of experimentalists working toward implementations of various quantum information processing tasks to interact with mathematicians on the one hand, and mathematicians working in quantum information or on its periphery to participate in attempts to implement quantum computation and communication technologies on the other. Thus, by its very nature this workshop is heavily interdisciplinary. It is hoped that this event, held at the Institute for Quantum Computing in Waterloo, will lead to collaborations between scientists that would not have had the opportunity to interact otherwise. Some potential interaction points are discussed below.
Experimental quantum information aims to develop physical systems that can exhibit the requisite quantum properties as well as methods for controlling and characterizing these systems. This is a very challenging task that involves significant mathematical and statistical issues. Quantum properties, such as entanglement and superposition, are notoriously fragile. To harness these properties, two seemingly contradictory constraints are required: the systems must be completely isolated from their environment to fight decoherence, yet amenable to precise and rapid control by outside forces. Despite these constraints, several physical systems are being intensively investigated and rapid progress has been achieved over the last several years.
For example, entanglement is a critical quantum resource in most quantum information applications. Experiments with trapped ions have demonstrated 6 and 8 ion entangled states, where the 6 ion states have been used for quantumenhanced phase measurements. Optical experiments have demonstrated key entangled states, known as graph states, in up to 6 optical photons. Nuclear magnetic resonance (NMR) experiments have demonstrated the production of 12 qubit pseudopure states; and recently a pair of superconducting qubits has, for the first time, been entangled. Key quantum logic gates and even small quantum computing algorithms have been demonstrated in several of these systems.
Quantum cryptography is arguably the most advanced quantum technology. This particular technology is dominated by optical implementations since photons can be distributed over large distances with low decoherence. Driven by improvements in entangledphoton source and detector technologies, quantum key distribution has been demonstrated over 100km in both fibre and freespace quantum channels. Several important questions remain in the theory of quantum cryptography and will have important consequences for the technology. Quantum key distribution has been shown to be secure under, as of yet, unrealistic conditions. Can we develop a working experimental system and prove that it is unconditionally secure even with all of its real world imperfections? Quantum key distribution systems can only tolerate a certain amount of errors before their security is potentially compromised. However, there remains a gap between the error rate of known secure systems and systems which we know are not secure. Can we develop protocols to close this gap and yield systems which are able to tolerate higher error rates, or achieve higher bit rates?
Monday August 10  Theme: Tomography 
9:009:50  Registration and coffee 
9:5010:00  Opening remarks 
10:0010:50  Robin BlumeKohout (Perimeter Institute) Tomography: What is it good for? 
10:5011:10  Break 
11:1012:00  Aephraim Steinberg (University of Toronto) Measuring quantum states in the presence of fundamental symmetries 
12:002:00  Lunch 
2:002:30  Peter Turner (University of Tokyo) Comparison of maximumlikelihood and linear reconstruction schemes in quantum measurement tomography 
2:303:00  Colm Ryan (Institute for Quantum Computing) Randomized benchmarking in liquidstate NMR 
3:003:30  Break 
3:304:20  David Cory (MIT) Efficient and Robust Decoupling 
5:007:00  Dinner in tent at IQC 
Tuesday August 11  Theme: Numerical Ranges 
9:3010:00  Coffee 
10:0010:50  John Holbrook (University of Guelph) Introduction to numerical ranges 
10:5011:10  Break 
11:1011:40  Marcus Silva (Université de Sherbrooke) Numeric ranges and minimal fidelity guarantees in the physical realization of unitaries 
11:402:00  Lunch 
2:002:30  Yiu Tung Poon (Iowa State University) Generalized numerical ranges and quantum error correction 
2:303:00  Raymond Sze (University of Connecticut) The (p,k) matricial ranges and quantum error correction 
3:003:30  Break 
3:304:20  Cedric Beny (National University of Singapore) Inverting a channel with nearoptimal worstcase entanglement fidelity 
5:007:00  Dinner in tent at IQC 
Wednesday August 12  
9:3010:00  Coffee 
10:0010:50  ManDuen Choi (University of Toronto) Hard results in the soft mathematics in quantum information 
10:5011:10  Break 
11:1012:00  ChiKwong Li (College of William and Mary) Completely positive linear maps, unitary orbits, and quantum operations 
12:002:00  Lunch 
2:002:50  Claudio Altafini Feedback schemes for radiation damping suppression in NMR: a controltheoretical perspective 
3:305:30  Poster session on UW campus 
6:008:00  Banquet  University Club 
Thursday August 13  
9:3010:00  Coffee 
10:0010:50  Karol Zyczkowski (Jagiellonian University) Product numerical range: a versatile tool in the theory of quantum information 
10:5011:10  Break 
11:1012:00  Thomas SchulteHerbrüggen (Munich Technical University) Matching Lie and Markov properties in open quantum systems 
12:002:00  Lunch 
2:002:50  Masoud Mohseni (MIT) EnvironmentAssisted Quantum Processes 
2:503:10  Break 
3:104:00  BeiLok Hu (University of Maryland) Entanglement Dynamics between Two Qubits in a Quantum Field: Birth, Death and Revivals 
4:005:00  IQC lab tours 
5:007:00  Dinner in tent at IQC 
Friday August 14  
9:302:00  Discussion time for people who are interested, no talks scheduled, coffee will be served in the morning and lunch will be served 
Full Name  University/Affiliation 
Altafini, Claudio  SISSA  Int. School for Advanced Studies 
Belinschi, Serban  University of Saskatchewan 
Beny, Cedric  National University of Singapore 
Choi, ManDuen  University of Toronto 
Cory, David  Massachusetts Institute of Technology 
Floricel, Remus  University of Regina 
Ghosh, Arpita  Indian Statistical Institute 
Guenda, Kenza  University of Algiers 
Holbrook, John  University of Guelph 
Hu, Bei Lok  University of Maryland 
Hu, Beilok  University of Maryland 
Johnston, Nathaniel  University of Guelph 
Kim, Peter  University of Guelph 
Koo, JaYong  Korea University 
Kribs, David  University of Guelph 
Laflamme, Raymond  University of Waterloo 
Lehman, Lauri  Macquarie University 
Li, ChiKwong  College of William and Mary 
Lim, Jacques Bunrith  IRMAR 
Magesan, Easwar  IQC 
McNicholas, Paul  University of Guelph 
McNicholas, Sharon  University of Guelph 
Meyer, Angela  University of Cambridge 
Mohseni, Masoud  Massachusetts Institute of Technology 
Mudalige, Nishan  University of Guelph 
Pereira, Rajesh J.  University of Guelph 
Poon, Yiu  Iowa State University 
Resch, Kevin  Institute for Quantum Computing 
Schönfeldt, JohannHeinrich  Macquarie University 
SchulteHerbrueggen, Thomas  TUMunich 
Silva, Marcus  Université de Sherbrooke 
Sze, Raymond NungSing  University of Connecticut 
Turner, Peter  University of Tokyo 
Wei, TzuChieh  University of Waterloo 
Zyczkowski, Karol  Jagiellonian University 